Application of homotopy-perturbation method to fractional IVPs

被引：69
作者：
Abdulaziz, O. [1 ]
Hashim, I. [1 ]
Momani, S.
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi Selangor 43600, Malaysia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 216卷 / 02期
关键词：
fractional IVPs; homotopy-perturbation method; Caputo's fractional derivative;
D O I：
10.1016/j.cam.2007.06.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：574 / 584
页数：11
相关论文
共 50 条
  • [31] HOMOTOPY PERTURBATION METHOD FOR SOLVING THE FRACTIONAL FISHER'S EQUATION
    Cherif, Mountassir Hamdi
    Belghaba, Kacem
    Ziane, Djelloul
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2016, 10 (01): : 9 - 16
  • [32] Homotopy perturbation method for fractional Fornberg-Whitham equation
    Gupta, Praveen Kumar
    Singh, Mithilesh
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 250 - 254
  • [33] Series solutions of a fractional oscillator by means of the homotopy perturbation method
    Yildirim, Ahmet
    Momani, Shaher
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (05) : 1072 - 1082
  • [34] Variational iteration method and homotopy-perturbation method for solving second-order non-linear wave equation
    Barari, A.
    Omidvar, M.
    Gholitabar, S.
    Ganji, D. D.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 81 - +
  • [35] The Homotopy-Perturbation Method for Solving Klein-Gordon-Type Equations with Unbounded Right-Hand Side
    Aslanov, Afgan
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (1-2): : 149 - 152
  • [36] Application of the homotopy perturbation method to an inverse heat problem
    Zhou, Guanglu
    Wu, Boying
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (06) : 1331 - 1337
  • [37] Application of homotopy perturbation method to the radial thrust problem
    Lorenzo Niccolai
    Alessandro A. Quarta
    Giovanni Mengali
    Astrodynamics, 2023, 7 : 251 - 258
  • [38] Application of Homotopy perturbation method for fuzzy integral equations
    Matinfar, Mashallah
    Saeidy, Mohammad
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2010, 1 (04): : 377 - 385
  • [39] Application of homotopy perturbation method to the radial thrust problem
    Niccolai, Lorenzo
    Quarta, Alessandro A.
    Mengali, Giovanni
    ASTRODYNAMICS, 2023, 7 (02) : 251 - 258
  • [40] Application of homotopy perturbation method to regularization of scalar images
    Ma, Qin
    Xing, Ru-Yi
    Mei, Shu-Li
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 31 (02) : 305 - 313
12345